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265216 = 210737
BaseRepresentation
bin1000000110000000000
3111110210211
41000300000
531441331
65403504
72153140
oct1006000
9443724
10265216
11171296
12109594
1393943
146c920
15538b1
hex40c00

265216 has 44 divisors (see below), whose sum is σ = 622288. Its totient is φ = 110592.

The previous prime is 265207. The next prime is 265231. The reversal of 265216 is 612562.

It is an unprimeable number.

265216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7150 + ... + 7186.

2265216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311144).

265216 is an abundant number, since it is smaller than the sum of its proper divisors (357072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

265216 is an equidigital number, since it uses as much as digits as its factorization.

265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 265216 is about 514.9912620618. The cubic root of 265216 is about 64.2490297461.

Adding to 265216 its reverse (612562), we get a palindrome (877778).

The spelling of 265216 in words is "two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2072 2368 3584 4144 4736 7168 8288 9472 16576 18944 33152 37888 66304 132608 265216